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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exp. Prime Factor Digits Year
3486017278881378 ~1984
3486059278884738 ~1984
34861991185307679 ~1985
34864631394585219 ~1985
348655169731037 ~1982
348661169732237 ~1982
3486737488143198 ~1984
348683969736797 ~1982
348686369737277 ~1982
3486941209216478 ~1983
348719969743997 ~1982
3487229488212078 ~1984
3487369767221198 ~1985
3487637209258238 ~1983
3487661209259678 ~1983
3487709279016738 ~1984
3487807348780718 ~1984
3487807558049138
348787169757437 ~1982
348806369761277 ~1982
3488161209289678 ~1983
3488311627895998 ~1984
348833969766797 ~1982
34883391116268499
3488393837214338 ~1985
Exp. Prime Factor Digits Year
34885431465188079 ~1985
348859169771837 ~1982
348860369772077 ~1982
3488741209324478 ~1983
3489001209340078 ~1983
348902369780477 ~1982
3489089488472478 ~1984
3489173209350398 ~1983
348937169787437 ~1982
3489389279151138 ~1984
3489593209375598 ~1983
34898471186547999 ~1985
349013969802797 ~1982
349019969803997 ~1982
3490393558462898 ~1984
349045169809037 ~1982
349046369809277 ~1982
3490517209431038 ~1983
3490771349077118 ~1984
3490937209456238 ~1983
3491017209461038 ~1983
3491021209461278 ~1983
34910511675704499 ~1985
3491093209465598 ~1983
3491093488753038
Exp. Prime Factor Digits Year
349112369822477 ~1982
3491233768071278 ~1985
34912491326674639 ~1985
349129169825837 ~1982
3491317558610738 ~1984
34913336074919439 ~1987
34914732444031119 ~1986
3491533209491998 ~1983
3491651279332098 ~1984
3491777209506638 ~1983
3491827349182718 ~1984
3491897209513838 ~1983
3491923838061538 ~1985
3491947349194718 ~1984
3492337209540238 ~1983
3492493209549598 ~1983
349271969854397 ~1982
3492737209564238 ~1983
3492793209567598 ~1983
34927931397117219
3492893209573598 ~1983
3493073209584398 ~1983
3493103838344738 ~1985
349316369863277 ~1982
3493333838399938 ~1985
Exp. Prime Factor Digits Year
3493337279466978 ~1984
3493361279468898 ~1984
349340369868077 ~1982
3493433489080638 ~1984
3493547838451298 ~1985
3493597209615838 ~1983
3493781209626878 ~1983
349385969877197 ~1982
349388369877677 ~1982
3493957209637438 ~1983
349406369881277 ~1982
34942692725529839 ~1986
349430369886077 ~1982
349439969887997 ~1982
3494453105532480710 ~1987
349453169890637 ~1982
3494627629032878 ~1984
34949511957172579 ~1986
3494969489295678 ~1984
3495017279601378 ~1984
3495043349504318 ~1984
349517969903597 ~1982
3495301209718078 ~1983
3495397209723838 ~1983
349573169914637 ~1982
545
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25-04-13